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Popular >

|1-7x|+2>= 4

Solution

∣ 1 - 7 x ∣ + 2 \geq 4

Solution

x \leq - \frac{1}{7} or x \geq \frac{3}{7}

+2

Interval Notation

(- \infty, - \frac{1}{7}] \cup [\frac{3}{7}, \infty)

Decimal Notation

x \leq - 0.14285 \dots or x \geq 0.42857 \dots

Solution steps

∣ 1 - 7 x ∣ + 2 \geq 4

Move

2

to the right side

∣ 1 - 7 x ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 7 x \leq - 2 or 1 - 7 x \geq 2

1 - 7 x \leq - 2 or 1 - 7 x \geq 2

x \leq - \frac{1}{7} or x \geq \frac{3}{7}

Popular Examples

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\frac{5 ^{- 2}}{5 ^{- 6}}

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\frac{a ^{2} - b ^{2}}{a + b} - (a + b)^{2} + 2 (a^{2} + ab)

x^{2} - 5 x - 5 = 0

simplify sqrt(4^2+2^2)simplify

4^{2} + 2^{2}

factor 11x^3+125x^2+45x+11 factor

11 x^{3} + 125 x^{2} + 45 x + 11

Frequently Asked Questions (FAQ)

What is |1-7x|+2>= 4 ?
The solution to |1-7x|+2>= 4 is x<=-1/7 \lor x>= 3/7